1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sammy [17]
3 years ago
13

Are 8x^2y and -5yx^2 like terms? Explain.

Mathematics
1 answer:
MaRussiya [10]3 years ago
6 0

Like terms must have the same variables and those variables must have the same powers.

7a^2b^3 and 9a^2b^3 are like terms, because they both have a^2 and they both have b^3.

7a^2b^3 and 7a^3b^2 are NOT like terms, because the powers no longer match.

In your example, do you have the same variables and do the variables have the same powers in both expressions?

You might be interested in
A sheet of paper 90 cm-by-66 cm is made into an open box (i.e. there's no top), by cutting x-cm squares out of each corner and f
NNADVOKAT [17]

Answer:

26 - \sqrt{181} cm

Step-by-step explanation:

The volume of the box is:

V = height * length * width

V = x*(66 - 2*x)*(90 - 2*x)

V = (66*x - 2*x^2)*(90 - 2*x)

V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3

V = 4*x^3 - 312*x^2 + 5940*x

where x is the length of the sides of the squares,  in cm.

The mathematical problem is :

Maximize: V = 4*x^3 - 312*x^2 + 5940*x

subject to:

x > 0

2*x < 66 <=> x < 33

In the maximum, the first derivative of V, dV/dx, is equal to zero

dV/dx = 12*x^2 - 624*x + 5940

From quadratic formula

x = \frac{-b \pm \sqrt{b^2 - 4(a)(c)}}{2(a)}

x = \frac{624 \pm \sqrt{(-624)^2 - 4(12)(5940)}}{2(12)}

x = \frac{624 \pm \sqrt{104256}}{24}

x = \frac{624 \pm \sqrt{2^6*3^2*181}}{24}

x = \frac{624 \pm 8*3*\sqrt{181}}{24}

x_1 = \frac{624 + 24*\sqrt{181}}{24}

x_1 = 26 + \sqrt{181}

x_2 = \frac{624 - 24*\sqrt{181}}{24}

x_2 = 26 - \sqrt{181}

But x_1 > 33, then is not the correct answer.

5 0
2 years ago
Find the axis of symmetry for each parabola.<br><br> a) y = -16x^2 + 64x - 25
Lana71 [14]
Axis of symmetry is x = 2
4 0
3 years ago
Read 2 more answers
Multiply the polynomials 3(x+7) (show work pls)
Evgen [1.6K]

Answer:

3x + 21

Step-by-step explanation:

(3)(x+7)

Now, we distribute the 3 in each term of (x+7)

So, 3*x = 3x and 3*7 = 21.

So our resulting term would be 3x+21.

8 0
3 years ago
Write 0.39 as a fraction in simplest form
nika2105 [10]
Here's how to convert 0.39 to a fraction...

There is not much that can be done to figure out how to write 0.39 as a fraction, except to literally use what the decimal portion of your number, the .39, means.

Since there are 2 digits in 39, the very last digit is the "100th" decimal place.

So we can just say that .39 is the same as 39/100.

So your final answer is: 0.39 can be written as the fraction 39/100 (ALREADY SIMPLIFIED)

3 0
2 years ago
Read 2 more answers
Kyle wants to compare 0.25 to 1/2 using fractions. Which fraction can he use for 0.25? A) 14 B) 25 C) 34 D) 45​
Andreas93 [3]

Answer:

1/4

Step-by-step explanation:

0.25 is 1/4 of a whole use quarters for example

8 0
2 years ago
Read 2 more answers
Other questions:
  • Round 1,129.872 To The Nearest Tenth
    6·1 answer
  • A total of
    7·2 answers
  • Convert the following percent into common fractions in simplest form:
    13·1 answer
  • Sarah rides her horse for 2 1/6 hrs with a constant speed of 6 km/hr and then for another 2 hours and 5 minutes with a constant
    7·1 answer
  • Find the product:<br><br> −4<br> 7<br> (−13<br> 2<br> )
    10·2 answers
  • An arrangement of bowling
    15·1 answer
  • I just need question a I don’t understand it and it would mean a lot if you can help me
    5·2 answers
  • 84 is what percent of 212%
    7·1 answer
  • Please help me on this question please
    10·1 answer
  • Two numbers x and y, have a sum of 23 and a difference of 7. x is greater than y.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!